Math, asked by nia677, 1 year ago

the parallel side of trapezium are 25 cm and 11 cm while it nonparallel side are 15 cm and 13 cm. find the area of trapezium​

Answers

Answered by Suraj182904
1
196cm square is the answer of your question

nia677: no
nia677: the correct answer is 180
Suraj182904: ok
nia677: sorry not 180 it 216
Suraj182904: don't worry i will solve it again
nia677: ok
priyanshu4098: ⓦⓡⓞⓝⓖ ⓐⓝⓢⓦⓔⓡ
priyanshu4098: wrong answer
priyanshu4098: nia cheak my answer
Answered by priyanshu4098
12
Draw CE such that AECD is a parallelogram
AE = CD = 11 cm
AD = CE = 15 cm

EB = 14 cm
Area of ΔECB = s(s-a)(s-b)(s-c)

where s = (a+b+c)/2
a = 13 cm, b = 14 cm, c = 15 cm
Here s = (13+14+15)/2 = 21 cm
Area of ΔECB = 21(21-13)(21-14)(21-15)
     
= 84 sq cm
 But Area of ΔECB = 1/2 × base (EB) × height (h)

1/2 × 14 × h = 84

h = 12 cm

Area of trapezium ABCD = 1/2 × h × (AB + CD)
 
                                         = 1/2 × 12 × (25 + 11) 
         
                                         =  6 × 36
  
               your answer               = 216 sq cm

 

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